Sentence examples for express the constraints from inspiring English sources

The model exploits pseudo-Boolean functions both to express the constraints and to define the cost function, interpreted as energy of a neural network.

To express the optimization problem that can lead to a new modulation system featuring an optimally reduced PAPR, we have to express the constraints on the functions (g m )m ∈ [ [0,M - 1] ].

The method uses the energy frame concept to express the constraints of the optimisation problem, which is then solved by minimising the costs of conserving energy in all the individual energy-saving measures.

Equations (30) and (31) express the constraints of compressor flow and power, where (S_{C,c},;overline{S}_{C,c}) are gas flow rate at compressor c and the upper limit of gas flow; (P_{C,c},;overline{P}_{C,c}) are power for compressor i and the upper limit of power.

They do not fully express the constraints of the language.

One way to achieve this is to introduce in the object language two operators (V and F) in order to express the constraint that the antecedent of a connexive implication must be verifiable, and the consequent must be falsifiable (i.e. not valid).

Since the real and imaginary parts of the branch currents are included in the state vector, it is straightforward to express the constraint on a node i as: sum_{j in Theta_{i}} alpha_{j} {i_{j}^{r}} = 0, ; sum_{j in Theta_{i}} alpha_{j}{i_{j}^{x}} = 0 (14).

First express the constraint (gamma in Pi (mu,nu )) in the following way : notice that, if (gamma ) is a non-negative measure on (Xtimes X), then we have begin{aligned} sup _{phi,psii }int phi,mathrm{d}mu +int psi,mathrm{d}nu - int left( phi (x)+psi (y)right),mathrm{d}gamma = {left{ begin{array}{ll}0& text{ if } gamma in Pi (mu,nu ) +infty & text{ otherwise } end{array}right.

We take advantage of this, expressing the constraints relating the variables as Boolean expressions in terms of the "and', "or," "exclusive or," and "if and only if" operators (denoted by the usual symbols, and, ∧, ∨,, and ⇔, respectively).

The latter pair of equations expresses the constraint imposed by the VCMs.

The term tR(P sr ) expresses the constraint that the relay should be able to fully decode the source message at the end of BC mode.